"14:00 - 16:30 : Journée ""Analyse harmonique et EDP"""
"14:00 - Emmanuel Russ, Univ. Grenoble Alpes.
Inégalités de Riesz inverses dans les variétés riemaniennes.
Le résumé:
cf.https://plmbox.math.cnrs.fr/f/1ee58b7344e140ab8fb7/
15:00-15:30 Pause café
15:30 Dmitry Ponomarev, INRIA Nice.
Constructive aspects related to the inverse magnetisation problem.
Le résumé:
The process of extraction of relict magnetic information from georocks and meteorites is a challenging task. Due to the weak intensity of the field produced by the remanent magnetisation of a rock, the measurements have to be performed in direct vicinity of the sample and using highly sensitive magnetometric devices such as SQUID and QDM. The basic quantity of interest is the net magnetisation (magnetisation moment vector). Reconstruction of this quantity hinges on effective processing of the experimental data, with the main challenges being the limited measurement area and the noise contamination. Motivated by the concrete experimental settings, I will focus on some constructive issues related to asymptotic estimation of the net magnetisation, field extrapolation and denoising. I will also show some numerical results illustrating the proposed computational strategies.
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